যদি log(a/b) + log(b/a) = log(a + b) হয়, তবে x^{a + b} = ?

প্রশ্ন: যদি log(a/b) + log(b/a) = log(a + b) হয়, তবে x^{a + b} = ?

সমাধান:
log(a/b) + log(b/a) = log(a + b)
⇒ log{(a/b) × (b/a)} = log(a + b)
⇒ log1 = log(a + b)
⇒ a + b = 1

এখন, x^{a + b}
= x¹
= x